10688480 has 48 divisors (see below), whose sum is σ = 27551664. Its totient is φ = 3886080.

The previous prime is 10688479. The next prime is 10688497. The reversal of 10688480 is 8488601.

It is a super-2 number, since 2×10688480² = 228487209420800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10688480.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1277 + ... + 4796.

It is an arithmetic number, because the mean of its divisors is an integer number (573993).

Almost surely, 2^10688480 is an apocalyptic number.

10688480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10688480 is an abundant number, since it is smaller than the sum of its proper divisors (16863184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10688480 is a wasteful number, since it uses less digits than its factorization.

10688480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6099 (or 6091 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 35.

The square root of 10688480 is about 3269.3240891658. The cubic root of 10688480 is about 220.2784353381.

The spelling of 10688480 in words is "ten million, six hundred eighty-eight thousand, four hundred eighty".